All of the Alismataceae in our area (including Alisma, Echinodorus, and Sagittaria) can have rhizomes or tubers.
Water
plantains and duck
potatoes! I'm going to pretend that I knew that all along...
Something about the whole-plant shots seemed out of place, but I can't put my finger on it.
Well, the plant had a slightly fuller and bigger "shape" to it at first. On the collection outing, I brought along my little sister, who wanted to help out. It was nice that she was excited about it, but little kids aren't very gentle with living things... about 5 or 6 leaves were banged up or snapped on the outside of the plant. The curved shape of the outer petioles (I hope I got that right) that made the plant kind of bowl-like in appearance was lost when my pruning instinct got the better of me (you can sort of tell where I snapped them off in the close up pictures of the base). That may be why it looks a tad odd.
I'm still thinking Alisma, but now also thinking that it could be an oddly subcordate form of A. triviale. There is a bit of back-and-forth as to the phylogeny of A. triviale, A. subcortadum, and A. plantago-aquatica, but Crow & Hellquist cite genetic studies that seem to indicate they are distinct species. In either case, there is a lot of plasticity in the species of this genus (as is also the case for Sagittaria).
When I first typed up this topic looking for help, I was just hoping to know if I had guessed within the correct genus! It is absolutely fantastic that you are able to narrow it down to a species or two, especially considering how difficult it is to identify (well, even to prove the unique existence of) plant species with their enormous rate of variability compared to the vertebrates I'm more familiar with.

Almost every time I'm outside, I wish I knew someone who could tell me what each and every pretty little "weed" is. My only self guides to these things are Google *cringe*, the USDA plants database (actually pretty good), a little book that I got in kindergarten because the library was giving away outdated books ("A Golden Guide: Flowers" by Herbert Zim and Alexander Martin, published in 1950...), and another book I got a few years ago that was also given away ("A Golden Guide: Pond Life" by George Reid, 1987). I sincerely appreciate your help!
@Newt
It seems to grow fast… It has already thrown up two more leaves and there is another one is on the way since those pictures (I later cut off that brown stalk because it appeared to be decaying).
Phew, what a long post... I hope I didn't bore anyone to death!